Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Ho Duy B"'
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 16147-16170 (2022)
In this paper, we consider a pseudo-parabolic equation with the Atangana-Baleanu Caputo fractional derivative. Our main tool here is using fundamental tools, namely the Fractional Tikhonov method and the generalized Tikhonov method, the error estimat
Externí odkaz:
https://doaj.org/article/d59ee54f0d7a4b56bc95977a84008263
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-16 (2021)
Abstract In this paper, we consider the biparabolic problem under nonlocal conditions with both linear and nonlinear source terms. We derive the regularity property of the mild solution for the linear source term while we apply the Banach fixed-point
Externí odkaz:
https://doaj.org/article/6ba5884125fe442896423fb9b944b8fa
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-23 (2021)
Abstract The main target of this paper is to study a problem of recovering a spherically symmetric domain with fractional derivative from observed data of nonlocal type. This problem can be established as a new boundary value problem where a Cauchy c
Externí odkaz:
https://doaj.org/article/4021d509344a4893a37dc9f2f97d2971
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)
Abstract In this paper, the problem of finding the source function for the Rayleigh–Stokes equation is considered. According to Hadamard’s definition, the sought solution of this problem is both unstable and independent of continuous data. By usi
Externí odkaz:
https://doaj.org/article/a3d218810c904038b2ccf93aff1cad3f
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-11 (2021)
Abstract This paper considers the initial value problem for nonlinear heat equation in the whole space R N $\mathbb{R}^{N}$ . The local existence theory related to the finite time blow-up is also obtained for the problem with nonlinearity source (lik
Externí odkaz:
https://doaj.org/article/d7602a4852e949bc974595e9fac90f52
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-12 (2021)
Abstract This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biolo
Externí odkaz:
https://doaj.org/article/966373ed01974d5fbd4fc748396f44ca
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-24 (2021)
Abstract In this work, we study an initial value problem for a system of nonlinear parabolic pseudo equations with Caputo fractional derivative. Here, we discuss the continuity which is related to a fractional order derivative. To overcome some of th
Externí odkaz:
https://doaj.org/article/56cae81268854f3880cb45d9d2ffcdb4
Autor:
Nguyen Duc Phuong, Luu Vu Cam Hoan, Erdal Karapinar, Jagdev Singh, Ho Duy Binh, Nguyen Huu Can
Publikováno v:
Alexandria Engineering Journal, Vol 59, Iss 6, Pp 4959-4968 (2020)
In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion about continuity with respe
Externí odkaz:
https://doaj.org/article/c1523835c1014713a60e89d5bc4227c2
Publikováno v:
Symmetry, Vol 14, Iss 7, p 1490 (2022)
The paper’s main purpose is to find the unknown source function for the conformable heat equation. In the case of (Φ,g)∈L2(0,T)×L2(Ω), we give a modified Fractional Landweber solution and explore the error between the approximate solution and
Externí odkaz:
https://doaj.org/article/2cdb06dd521645b0b09230cec0f25211
Publikováno v:
Symmetry, Vol 14, Iss 7, p 1419 (2022)
Recent decades have witnessed the emergence of interesting models of fractional partial differential equations. In the current work, a class of parabolic equations with regularized Hyper-Bessel derivative and the exponential source is investigated. M
Externí odkaz:
https://doaj.org/article/9037f89503464f8bbd3414e90eaa71d5